Well I think we should have two variants, a LN Jackal-headed and a LE one with the head of a Typhonic Beast, but use the same stats with a couple of SA/SQ alterations to align them with positive/negative energy or evil/law.
I.e. the Typhonic version has rebuke undead, the Jackal version has turn undead, and some of its SLA abilities are different. (e.g. protection from good for the Set-Mummy, protection from chaos for the Anubis-Mummy, dictum or order's wrath for the Anubis-Mummy, unholy blight or blasphemy for the Set-Mummy).